Finding the Third Proportional to 81,128 and 188,484

Step by Step Solution

1. Step 1: Write the proportion equation
   81,128 : 188,484 = 188,484 : x
2. Step 2: Convert to fraction form
   81,128/188,484 = 188,484/x
3. Step 3: Cross multiply
   81,128x = 188,484 × 188,484
4. Step 4: Simplify right side
   81,128x = 35,526,218,256
5. Step 5: Solve for x
   x = 35,526,218,256/81,128
6. Step 6: Final answer
   x = 437,903.29